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Find all the zeros of the equation. -4x4 - 44x2 + 3600 = 0

User IsakBosman
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2 Answers

4 votes

-5, 5, 6i, -6i

Is 100% correct!

User Simlmx
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-4X^4 - 44x^2 + 3600 = 0

divide through by -4:-

x^4 + 11x^2 - 900 = 0

900 = 36 * - 25 and 11 = 36-25 so the factors are

(x^2 + 36)(x^2 - 25) = 0

x^2 = - 36 giving x = 6i and -6i

x^2 = 25 giving x = 5 and x = -5

solution set is {-5, 5, 6i, -6i}
User R Ubben
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